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81
Construction of analytical solutions to systems of two stochastic differential equations
Published 2023-11-01“…Using the presented techniques, a system of stochastic differential equations (SDEs) can be constructed in such a way that eliminating the stochastic component yields the original system of ODEs. …”
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82
Hitting time behavior for the solution of a stochastic differential equation
Published 2016Get full text
Technical Report -
83
Quasi-potential analysis of multi-variate stochastic differential equations
Published 2022“…Then, I derive the sources of noise and stochasticity based on basic probability theory. Stochastic differential equations are derived for these systems. …”
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Thesis -
84
Topics on backward stochastic differential equations. Theoretical and practical aspects
Published 2013“…<p>This doctoral thesis is concerned with some theoretical and practical questions related to backward stochastic differential equations (BSDEs) and more specifically their connection with some parabolic partial differential equations (PDEs). …”
Thesis -
85
Some problems in abstract stochastic differential equations on Banach spaces
Published 2011“…<p>This thesis studies abstract stochastic differential equations on Banach spaces. The well-posedness of abstract stochastic differential equations on such spaces is a recent result of van Neerven, Veraar and Weis, based on the theory of stochastic integration of Banach space valued processes constructed by the same authors.…”
Thesis -
86
Identifiability analysis for stochastic differential equation models in systems biology
Published 2020“…We provide an accessible introduction to identifiability analysis and demonstrate how existing ideas for analysis of ODE models can be applied to stochastic differential equation (SDE) models through four practical case studies. …”
Journal article -
87
Random vortex dynamics via functional stochastic differential equations
Published 2022“…The new random vortex dynamics system consists of a stochastic differential equation which is, in contrast with the two-dimensional random vortex dynamics equations, coupled to a finite-dimensional ordinary functional differential equation. …”
Journal article -
88
Martingale representations for diffusion processes and backward stochastic differential equations
Published 2009“…Together with an approach put forward in Lyons et al(2009), our martingale representation theorem is then applied to the study of initial and boundary problems for quasi-linear parabolic equations by using solutions to backward stochastic differential equations over the filtered probability space determined by reflecting diffusions in a bounded domain with only continuous boundary.…”
Journal article -
89
Studying partially ordered systems using stochastic differential equations
Published 2018“…<p>This thesis looks at two different problems in the field of partially ordered systems - modelling biopolymers on multiple scales as well as modelling two-dimensional nematic liquid crystal wells - and seeks to gain insight using stochastic differential equations, through mathematical analysis and numerical simulations. …”
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90
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Modified two-step method for stochastic differential equation's parameter estimation /
Published 2017Subjects: “…Stochastic differential equations…”
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93
Modified two-step method for stochastic differential equation's parameter estimation /
Published 2017Subjects: “…Stochastic differential equations…”
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94
Fifth-stage stochastic runge-kutta method for stochastic differential equations
Published 2018“…Hence, models for these systems are required via stochastic differential equations (SDEs). However, it is often difficult to find analytical solutions of SDEs. …”
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Thesis -
95
Hyperbolastic Models from a Stochastic Differential Equation Point of View
Published 2021-08-01Subjects: Get full text
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96
Monte Carlo Simulation of Stochastic Differential Equation to Study Information Geometry
Published 2022-08-01Subjects: Get full text
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97
Symmetric Fuzzy Stochastic Differential Equations Driven by Fractional Brownian Motion
Published 2023-07-01Subjects: “…fuzzy stochastic differential equations…”
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98
On the Construction of Growth Models via Symmetric Copulas and Stochastic Differential Equations
Published 2022-10-01Subjects: “…stochastic differential equation…”
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99
Anticipated backward doubly stochastic differential equations with non-Liphschitz coefficients
Published 2019-03-01Subjects: “…anticipated backward doubly stochastic differential equation…”
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Article -
100
Anticipated Backward Doubly Stochastic Differential Equations with Non-Lipschitz Coefficients
Published 2022-01-01Subjects: “…anticipated backward doubly stochastic differential equations…”
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Article